Multimodels for incompressible flows : iterative solutions for the Navier-Stokes / Oseen coupling
ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 3, pp. 549-574.

In a recent paper [4] we have proposed and analysed a suitable mathematical model which describes the coupling of the Navier-Stokes with the Oseen equations. In this paper we propose a numerical solution of the coupled problem by subdomain splitting. After a preliminary analysis, we prove a convergence result for an iterative algorithm that alternates the solution of the Navier-Stokes problem to the one of the Oseen problem.

Classification : 76D05, 65M55, 65M60, 65M70
Mots-clés : Navier-Stokes equations, domain decomposition methods, iterative schemes, convergence analysis 
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     title = {Multimodels for incompressible flows : iterative solutions for the {Navier-Stokes} / {Oseen} coupling},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
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Fatone, L.; Gervasio, P.; Quarteroni, A. Multimodels for incompressible flows : iterative solutions for the Navier-Stokes / Oseen coupling. ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 3, pp. 549-574. http://archive.numdam.org/item/M2AN_2001__35_3_549_0/

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